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Topics in Combinatorial Representation Theory |
| March 17, 2008 to March 21, 2008 |
| Organized By: Sergey Fomin, Bernard Leclerc, Vic Reiner (Chair), Monica Vazirani |
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| Parent Programs: |
| Combinatorial Representation Theory |
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| Return to Workshop Description |
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Schubert Polynomials for the affine Grassmannian of the symplectic group
Thursday March 20, 2008
09:30AM - 10:30AM
Speakers:
Anne Schilling
Abstract:
In this talk we present a combinatorial description of the
analogue of affine Stanley symmetric functions for type C,
a subset of which provides a basis for the cohomology ring of
the affine flag variety. Lam introduced affine Stanley
symmetric functions for type A, which are dual to the k-Schur
functions of Lapointe, Lascoux and Morse. The combinatorics in
the type C case involves the notion of Zs. This also allows us
to derive a Pieri rule for homology classes.
This talk is based on joint work with Thomas Lam and Mark
Shimozono http://front.math.ucdavis.edu/0710.2720.
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